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umka2103 [35]
2 years ago
10

The boxplot below represents the number of texts sent in two minutes by 11 different freshmen.

Mathematics
1 answer:
Assoli18 [71]2 years ago
8 0
Part A: 9
Part B: 6 and 7
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The bearing of Q from P is 150
Lynna [10]

Answer:

(i) see first attached diagram

(ii) QR = 22.67 km (2 dp)

(iii) 243°

Step-by-step explanation:

A bearing is the angle in degrees measured clockwise from north.

<u />

<u>Part (i)</u>

see first attached diagram

<u>Part (ii)</u>

The angles marked in blue on the second attached diagram are Consecutive Interior Angles.  In this case they add to 180° as the North lines are parallel.

The sum of angles around a point is 360°

⇒ m∠QPR (shown in red on the second attached diagram) = 360 - 150 - (180 - 15) = 45°        

To calculate the distance between Q and R (marked in red on the attached diagram), use the cosine rule.

⇒ QR² = PR² + QP² - 2(PR)(QP)cos(QPR)

⇒ QR² = 32² + 24² - 2(32)(24)cos(45)

⇒ QR² = 513.8839841...

⇒ QR = √513.8839841...

⇒ QR = 22.67 km (2 dp)

<u>Part (iii)</u>

We need to find the angle marked in green on the third attached diagram.

To do this, we need to find the angle marked in pink and the angle marked in orange, then subtract them from 360°

Pink angle = 180 - 150 = 30° (using the same consecutive angle theorem as before)

Orange angle (o) using the sine rule:

⇒ sin(o)/32 = sin(45)/QR

⇒ sin(o) = 32sin(45)/22.67

⇒ sin(o) = 0.9981652337...

⇒ o = 86.52868176...°

Therefore, the green angle = 360 - 30 - 86.52868176... = 243° (nearest degree)

8 0
2 years ago
Ted is asked to multiply 10 to the second power x 18.72. How Should he move the decimal point
nata0808 [166]
10 the second power is 10². 10²=10*10=100. 100*18.72=1,872. Hoped I helped. :)
4 0
3 years ago
Can somebody help me find the slope of this problem ??
andreev551 [17]

Answer:

The slope is 3/4

Please correct me if I am wrong please and thank you

Step-by-step explanation:

I use the slope formula \frac{y2-y1}{x2-x1}

Plug in (2,1) and (-2,-2)

1-(-2)/2-2

= 3/4

7 0
2 years ago
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Identify the terminal point for a 30° angle in a unit circle.
Afina-wow [57]

Answer:

The coordinates for the point on a circle of radius at an angle of are At the radius of the unit circle, 1, serves as the hypotenuse of a 30-60-90 degree right triangle, as shown in (Figure).

Step-by-step explanation:

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Rhianna invests $1200 in stock and bonds. The stock pays 9% interest and the bonds pay 6% interest. If the total ANNUAL interest
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0.06x+0.09 (1200-x)=96
Solve for x
X=400 at 6%

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